High-Order Preserving Residual Distribution Schemes for Advection-Diffusion scalar problems on arbitrary grids
| hal.structure.identifier | Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS] | |
| dc.contributor.author | ABGRALL, Remi | |
| hal.structure.identifier | Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS] | |
| dc.contributor.author | DESANTIS, Dante | |
| hal.structure.identifier | Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | RICCHIUTO, Mario | |
| dc.date.accessioned | 2024-04-15T09:57:48Z | |
| dc.date.available | 2024-04-15T09:57:48Z | |
| dc.date.issued | 2014 | |
| dc.identifier.issn | 1064-8275 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/198948 | |
| dc.description.abstractEn | This paper deals with the construction of a class of high-order accurate residual distribution schemes for advection-diffusion problems using conformal meshes. The problems considered range from pure diffusion to pure advection. The approximation of the solution is obtained using standard Lagrangian finite elements and the total residual of the problem is constructed taking into account both the advective and the diffusive terms in order to discretize with the same scheme both parts of the governing equation. To cope with the fact that the normal component of the gradient of the numerical solution is discontinuous across the faces of the elements, the gradient of the numerical solution is reconstructed at each degree of freedom of the grid and then interpolated with the same shape functions used for the solution. Linear and nonlinear schemes are constructed and their accuracy is tested with the discretization of advection-diffusion and anisotropic diffusion problems. | |
| dc.language.iso | en | |
| dc.publisher | Society for Industrial and Applied Mathematics | |
| dc.title.en | High-Order Preserving Residual Distribution Schemes for Advection-Diffusion scalar problems on arbitrary grids | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1137/12090143X | |
| dc.subject.hal | Informatique [cs]/Modélisation et simulation | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| dc.subject.hal | Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph] | |
| bordeaux.journal | SIAM Journal on Scientific Computing | |
| bordeaux.page | A955-A983 | |
| bordeaux.volume | 36 | |
| bordeaux.hal.laboratories | Laboratoire Bordelais de Recherche en Informatique (LaBRI) - UMR 5800 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01087924 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01087924v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=SIAM%20Journal%20on%20Scientific%20Computing&rft.date=2014&rft.volume=36&rft.issue=3&rft.spage=A955-A983&rft.epage=A955-A983&rft.eissn=1064-8275&rft.issn=1064-8275&rft.au=ABGRALL,%20Remi&DESANTIS,%20Dante&RICCHIUTO,%20Mario&rft.genre=article |
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